Edit Profile Friedman, Avner Compute Distance To: Compute Author ID: friedman.avner Published as: Friedman, A.; Friedman, Avner External Links: MGP · Wikidata · GND Documents Indexed: 550 Publications since 1956, including 43 Books Biographic References: 1 Publication all top 5 Co-Authors 211 single-authored 43 Caffarelli, Luis Ángel 35 Hu, Bei 12 Chen, Xinfu 12 Velázquez, Juan J. L. 11 Reitich, Fernando 10 Alt, Hans Wilhelm 8 DiBenedetto, Emmanuele 8 McLeod, John Bryce 8 Yakubu, Abdul-Aziz 7 Fontelos López, Marco Antonio 7 Hao, Wenrui 6 Bazaliy, Borys V. 6 Cui, Shangbin 6 Kim, Yangjin 6 Ledzewicz, Urszula 6 Siewe, Nourridine 5 Anderson, Robert F. V. 5 Devinatz, Allen 5 Jensen, Robert E. 5 Lai, Xiulan 5 Pinsky, Mark Allan 5 Xue, Chuan 4 Bellout, Hamid 4 Bensoussan, Alain 4 Brézis, Haïm 4 Craciun, Gheorghe 4 Huang, Chaocheng 4 Kao, Chiu-Yen 4 Littman, Walter 4 Shinbrot, Marvin 4 Torelli, Alessandro 4 Turkington, Bruce E. 4 Vogelius, Michael S. 3 Aguda, Baltazar D. 3 Elliott, Charles M. 3 Herrero, Miguel Ángel 3 Huang, Shaoyun 3 Jiang, Lishang 3 Lacey, Andrew A. 3 Lam, King-Yeung 3 Liu, Yong 3 Ross, David Stuart 2 Baiocchi, Claudio 2 Bazaliy, Yaroslaw B. 2 Chen, Duan 2 Dembele, Bassidy 2 Elliott, Robert James 2 Evans, Lawrence Craig 2 Goel, Pranay 2 Green, J. Edward F. 2 Isakov, Victor M. 2 Jain, Harsh Vardhan 2 Kashdan, Eugene 2 Kaur, Balveen 2 Kinderlehrer, David 2 Lesinski, Gregory B. 2 Levine, Howard Allen 2 Liao, Kang-Ling 2 Liu, Wenxiong 2 Lo, Wing-Cheong 2 Lungu, Edward M. 2 Marsh, Clay B. 2 Oswald, Luc 2 Ou, Biao 2 Pozzi, Gianni Arrigo 2 Satoskar, Abhay R 2 Schättler, Heinz Michael 2 Shih, Chih-Wen 2 Tao, Youshan 2 Tello, José Ignacio 2 Tzavaras, Athanasios E. 2 Véron, Laurent 2 Vogel, Thomas Irvin 2 Yong, Jiongmin 2 Zhang, Jianhua 1 Aronson, Donald G. 1 Arsenescu, Razvan I. 1 Bai, Xue-Feng 1 Banasiak, Jacek 1 Bao, Gang 1 Barbu, Viorel 1 Bassom, Andrew P. 1 Bell, Jonathan 1 Bemelmans, Josef 1 Bernis, Francisco 1 Borisovich, Andreĭ Yur’evich 1 Borisyuk, Alla 1 Boushaba, Khalid 1 Brokate, Martin 1 Brown, Anthony K. 1 Bruno, Oscar P. 1 Budd, Christopher John 1 Caligiuri, Michael A. 1 Chechkin, Gregory A. 1 Chiocca, E. Antonio 1 Chou, Ching-Shan 1 Conley, Elizabeth 1 Conwell, Darwin L. 1 Coskun, Huseyin 1 Crouser, Elliott D. ...and 92 more Co-Authors all top 5 Serials 48 Journal of Differential Equations 46 Transactions of the American Mathematical Society 38 Archive for Rational Mechanics and Analysis 34 Indiana University Mathematics Journal 26 Journal of Mathematical Analysis and Applications 21 Journal of Mathematics and Mechanics 20 SIAM Journal on Mathematical Analysis 13 Mathematical Biosciences and Engineering 12 Bulletin of Mathematical Biology 12 Communications in Partial Differential Equations 12 Journal of Theoretical Biology 11 The IMA Volumes in Mathematics and its Applications 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 10 Pacific Journal of Mathematics 10 SIAM Journal on Control and Optimization 10 Nonlinear Analysis. Theory, Methods & Applications 8 Discrete and Continuous Dynamical Systems. Series B 7 SIAM Journal on Applied Mathematics 6 Journal of Mathematical Biology 5 Duke Mathematical Journal 5 Proceedings of the American Mathematical Society 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Proceedings of the National Academy of Sciences of the United States of America 5 Bulletin of the American Mathematical Society 4 Mathematical Biosciences 4 Journal of Functional Analysis 4 Journal für die Reine und Angewandte Mathematik 4 Kiberneticheskiĭ Sbornik. Novaya Seriya 4 European Journal of Applied Mathematics 4 Interfaces and Free Boundaries 3 Journal d’Analyse Mathématique 3 Acta Mathematica 3 Illinois Journal of Mathematics 3 Michigan Mathematical Journal 3 Notices of the American Mathematical Society 3 Lecture Notes in Mathematics 2 Communications on Pure and Applied Mathematics 2 American Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 2 Mathematics of Operations Research 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quarterly of Applied Mathematics 2 Asymptotic Analysis 2 SIAM Review 2 Discrete and Continuous Dynamical Systems 2 Multiscale Modeling & Simulation 2 Journal of Biological Dynamics 2 Mathematical Modelling of Natural Phenomena 2 Lecture Notes on Mathematical Modelling in the Life Sciences 2 Oxford Graduate Texts 1 Inverse Problems 1 Israel Journal of Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Reviews of Modern Physics 1 Rocky Mountain Journal of Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Optimization 1 Journal of the Faculty of Science. Section I A 1 Journal of Optimization Theory and Applications 1 Chinese Annals of Mathematics. Series B 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Non-Newtonian Fluid Mechanics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Continuum Mechanics and Thermodynamics 1 Applied Mathematics. Series A (Chinese Edition) 1 Finance and Stochastics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España) 1 SIAM Journal on Control 1 Regional Conference Series in Mathematics 1 Mathematics in Industry 1 Networks and Heterogeneous Media 1 Science China. Mathematics 1 Philosophical Transactions A. Royal Society of London 1 CBMS Regional Conference Series in Mathematics 1 Springer Undergraduate Texts in Mathematics and Technology all top 5 Fields 310 Partial differential equations (35-XX) 125 Biology and other natural sciences (92-XX) 73 Fluid mechanics (76-XX) 68 Calculus of variations and optimal control; optimization (49-XX) 39 Probability theory and stochastic processes (60-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Mechanics of deformable solids (74-XX) 26 General and overarching topics; collections (00-XX) 25 Systems theory; control (93-XX) 19 Optics, electromagnetic theory (78-XX) 18 Ordinary differential equations (34-XX) 16 Classical thermodynamics, heat transfer (80-XX) 12 Statistics (62-XX) 11 Operations research, mathematical programming (90-XX) 10 Potential theory (31-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Integral equations (45-XX) 5 Numerical analysis (65-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 456 Publications have been cited 10,930 times in 8,083 Documents Cited by ▼ Year ▼ Partial differential equations of parabolic type. Zbl 0144.34903Friedman, A. 1,890 1964 Partial differential equations. Zbl 0224.35002Friedman, Avner 729 1969 Stochastic differential equations and applications. Vol. 1. Zbl 0323.60056Friedman, Avner 432 1975 Variational principles and free-boundary problems. Zbl 0564.49002Friedman, Avner 383 1982 Blow-up of positive solutions of semilinear heat equations. Zbl 0576.35068Friedman, Avner; McLeod, Bryce 341 1985 Stochastic differential equations and applications. Vol. 2. Zbl 0323.60057Friedman, Avner 277 1976 Differential games. Zbl 0229.90060Friedman, Avner 171 1971 Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143Bernis, Francisco; Friedman, Avner 165 1990 Variational problems with two phases and their free boundary. Zbl 0844.35137Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 163 1984 Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061DiBenedetto, Emmanuele; Friedman, Avner 152 1985 Classes of solutions of linear systems of partial differential equations of parabolic type. Zbl 0092.31002Friedman, Avner 147 1957 Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018Friedman, Avner; Reitich, Fernando 127 1999 Nonlinear parabolic equations involving measures as initial conditions. Zbl 0527.35043Brézis, Haïm; Friedman, Avner 125 1983 The Stefan problem in several space variables. Zbl 0162.41903Friedman, A. 93 1968 Generalized functions and partial differential equations. Zbl 0116.07002Friedman, A. 92 1963 Convexity of solutions of semilinear elliptic equations. Zbl 0599.35065Caffarelli, Luis A.; Friedman, Avner 88 1985 Variational principles and free-boundary problems. Reprint. Zbl 0671.49001Friedman, Avner 78 1988 A free boundary problem arising in a model of wound healing. Zbl 0972.35193Chen, Xinfu; Friedman, Avner 73 2000 Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions. Zbl 0631.35041Friedman, Avner 72 1986 Regularity of the free boundary of a gas flow in an \(n\)-dimensional porous medium. Zbl 0439.76085Caffarelli, Luis A.; Friedman, Avner 68 1980 Blow-up of solutions of nonlinear degenerate parabolic equations. Zbl 0619.35060Friedman, Avner; McLeod, Bryce 63 1986 Foundations of modern analysis. Zbl 0198.07601Friedman, Avner 63 1970 Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence. Zbl 0684.35087Friedman, Avner; Vogelius, Michael 62 1989 Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth. Zbl 0983.35019Friedman, Avner; Reitich, Fernando 61 2001 Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038DiBenedetto, Emmanuele; Friedman, Avner 61 1984 Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022Cui, Shangbin; Friedman, Avner 59 2000 Foundations of modern analysis. Reprint of the 1970 orig. Zbl 0557.46001Friedman, Avner 59 1982 The asymptotic behavior of gas in an \(n\)-dimensional porous medium. Zbl 0447.76076Friedman, Avner; Kamin, Shoshana 59 1980 Parabolic variational inequalities in one space dimension and smoothness of the free boundary. Zbl 0295.35045Friedman, Avner 57 1975 Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046Evans, Lawrence C.; Friedman, Avner 55 1979 A one phase Stefan problem. Zbl 0334.49002Friedman, Avner; Kinderlehrer, David 53 1975 Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations. Zbl 0593.35047Caffarelli, Luis A.; Friedman, Avner 51 1985 Free boundary problems for parabolic equations. I: Melting of solids. Zbl 0089.07801Friedman, Avner 51 1959 Remarks on the maximum principle for parabolic equations and its applications. Zbl 0103.06403Friedman, Avner 50 1958 Mathematical analysis of a model for the initiation of angiogenesis. Zbl 1020.35030Fontelos, Marco A.; Friedman, Avner; Hu, Bei 49 2002 Volterra integral equations in Banach space. Zbl 0147.12302Friedman, A.; Shinbrot, M. 49 1967 On the regularity of the solutions of nonlinear elliptic and parabolic systems of partial differential equations. Zbl 0078.27702Friedman, Avner 49 1958 Determining cracks by boundary measurements. Zbl 0697.35165Friedman, Avner; Vogelius, Michael 48 1989 Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013Friedman, Avner 46 2007 Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039Friedman, Avner; Hu, Bei 46 2006 A free boundary problem for quasi-linear elliptic equations. Zbl 0554.35129Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 46 1984 A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144Chen, Xinfu; Friedman, Avner 45 2003 Continuity of the density of a gas flow in a porous medium. Zbl 0425.35060Caffarelli, Luis A.; Friedman, Avner 45 1979 The obstacle problem for the biharmonic operator. Zbl 0405.31007Caffarelli, Luis A.; Friedman, Avner 44 1979 Analysis of a mathematical model of the growth of necrotic tumors. Zbl 0984.35169Cui, Shangbin; Friedman, Avner 43 2001 The boundary-value problem in domains with very rapidly oscillating boundary. Zbl 0938.35049Chechkin, Gregory A.; Friedman, Avner; Piatnitski, Andrey L. 43 1999 Stability of solutions of chemotaxis equations in reinforced random walks. Zbl 1025.35005Friedman, Avner; Tello, J. Ignacio 42 2002 On the properties of a singular Sturm-Liouville equation determined by its spectral functions. Zbl 0091.08102Friedman, Avner 42 1957 Stochastic differential equations and applications. Reprint of the 1975 and 1976 original editions. Zbl 1113.60003Friedman, Avner 41 2006 Analysis of a mathematical model of tumor lymphangiogenesis. Zbl 1060.92036Friedman, Avner; Lolas, Georgios 41 2005 A single point blow-up for solutions of semilinear parabolic systems. Zbl 0648.35042Friedman, Avner; Giga, Yoshikazu 40 1987 A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094Friedman, Avner 39 2004 Symmetry-breaking bifurcations of free boundary problems in three dimensions. Zbl 1054.35145Fontelos, Marco A.; Friedman, Avner 39 2003 Stochastic differential games. Zbl 0208.39402Friedman, Avner 39 1972 The free boundary of a semilinear elliptic equation. Zbl 0552.35079Friedman, Avner; Phillips, Daniel 38 1984 Partial differential equations of parabolic type. Zbl 0173.12701Friedman, A. 38 1968 A free boundary problem for an elliptic-parabolic system: application to a model of tumor growth. Zbl 1031.35151Bazaliy, Borys V.; Friedman, Avner 37 2003 The time-harmonic Maxwell equations in a doubly periodic structure. Zbl 0759.35046Dobson, David; Friedman, Avner 37 1992 Extinction properties of semilinear heat equations with strong absorption. Zbl 0655.35050Friedman, Avner; Herrero, Miguel A. 37 1987 Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106Friedman, Avner; Hu, Bei 36 2006 The blow-up boundary for nonlinear wave equations. Zbl 0638.35053Caffarelli, Luis A.; Friedman, Avner 36 1986 Optimal control for variational inequalities. Zbl 0604.49007Friedman, Avner 35 1986 Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059Friedman, Avner; Hu, Bei 34 2008 Regularity of the free boundary for the one-dimensional flow of gas in a porous medium. Zbl 0439.76084Caffarelli, Luis A.; Friedman, Avner 34 1979 On integral equations of Volterra type. Zbl 0134.31502Friedman, A. 34 1963 The shape of axisymmetric rotating fluid. Zbl 0439.35068Caffarelli, Luis A.; Friedman, Avner 33 1980 Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107Friedman, Avner; Hu, Bei 32 2007 On the uniqueness in the inverse conductivity problem with one measurement. Zbl 0703.35165Friedman, Avner; Isakov, Victor 31 1989 The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102DiBenedetto, Emmanuele; Friedman, Avner 31 1984 Asymptotic estimates for the plasma problem. Zbl 0466.35033Caffarelli, Luis A.; Friedman, Avner 31 1980 Nonlinear variational inequalities and differential games with stopping times. Zbl 0297.90120Bensoussan, Alain; Friedman, Avner 31 1974 Interior estimates for parabolic systems of partial differential equations. Zbl 0082.30402Friedman, Avner 31 1958 Nonlinear stability of a quasi-static Stefan problem with surface tension: a continuation approach. Zbl 1072.35208Reitich, Fernando; Friedman, Avner 30 2001 Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065DiBenedetto, Emmanuelle; Friedman, Avner 30 1985 Differentiability of the blow-up curve for one dimensional nonlinear wave equations. Zbl 0593.35055Caffarelli, Luis A.; Friedman, Avner 30 1985 Systems of nonlinear wave equations with nonlinear viscosity. Zbl 0685.35070Friedman, Avner; Nečas, Jindřich 29 1988 Jets with two fluids. I. One free boundary. Zbl 0551.76013Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 29 1984 Reinforcement problems for elliptic equations and variational inequalities. Zbl 0434.35079Brézis, Haïm; Caffarelli, Luis A.; Friedman, Avner 29 1980 Axially symmetric jet flows. Zbl 0515.76017Alt, H. W.; Caffarelli, L. A.; Friedman, A. 28 1983 Nonzero-sum stochastic differential games with stopping times and free boundary problems. Zbl 0368.93029Bensoussan, Alain; Friedman, Avner 28 1977 Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: an application to a model of tumor growth. Zbl 1089.35079Bazaliy, Borys; Friedman, Avner 26 2003 Maxwell’s equations in a periodic structure. Zbl 0727.35131Chen, Xinfu; Friedman, Avner 26 1991 Vortex rings: existence and asymptotic estimates. Zbl 0497.76031Friedman, Avner; Turkington, Bruce 26 1981 A free boundary problem for a singular system of differential equations: An application to a model of tumor growth. Zbl 1036.34018Cui, Shangbin; Friedman, Avner 25 2003 Blow-up of solutions of nonlinear heat equations. Zbl 0653.35038Caffarelli, Luis A.; Friedman, Avner 24 1988 Optimal control for parabolic variational inequalities. Zbl 0624.49005Friedman, Avner 24 1987 Asymmetric jet flows. Zbl 0515.76018Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 24 1982 One dimensional Stefan problems with nonmonotone free boundary. Zbl 0162.42001Friedman, A. 24 1968 Isometric embedding of riemannian manifolds into Euclidean spaces. Zbl 0137.14901Friedman, A. 24 1965 Generalized heat transfer between solids and gases under nonlinear boundary conditions. Zbl 0101.31102Friedman, Avner 24 1959 Compressible flows of jets and cavities. Zbl 0614.76074Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 23 1985 Stochastic games and variational inequalities. Zbl 0285.90089Friedman, Avner 23 1973 On the existence of spatially patterned dormant malignancies in a model for the growth of non-necrotic vascular tumors. Zbl 1013.92024Friedman, Avner; Reitich, Fernando 22 2001 Asymptotic behavior of solutions of \(u_ t=\Delta u^ m\) as \(m\to \infty\). Zbl 0651.35039Caffarelli, Luis A.; Friedman, Avner 22 1987 Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084DiBenedetto, Emmanuele; Friedman, Avner 22 1986 Convexity of the free boundary in the Stefan problem and in the dam problem. Zbl 0375.35028Friedman, Avner; Jensen, Robert 22 1977 Analyticity of the free boundary for the Stefan problem. Zbl 0329.35034Friedman, Avner 22 1976 Analysis of a free-boundary tumor model with angiogenesis. Zbl 1344.35172Friedman, Avner; Lam, King-Yeung 21 2015 Continuity of the temperature in the Stefan problem. Zbl 0406.35032Caffarelli, Luis A.; Friedman, Avner 21 1979 Existence of value and of saddle points for differential games of pursuit and evasion. Zbl 0219.90064Friedman, A. 21 1970 Mathematical modeling in scheduling cancer treatment with combination of VEGF inhibitor and chemotherapy drugs. Zbl 1406.92312Lai, Xiulan; Friedman, Avner 2 2019 Rheumatoid arthritis – a mathematical model. Zbl 1406.92273Moise, Nicolae; Friedman, Avner 1 2019 The role of exosomes in pancreatic cancer microenvironment. Zbl 1394.92056Friedman, Avner; Hao, Wenrui 5 2018 Mathematical model of chronic pancreatitis. Zbl 1404.92096Hao, Wenrui; Komar, Hannah M.; Hart, Phil A.; Conwell, Darwin L.; Lesinski, Gregory B.; Friedman, Avner 4 2017 The role of TNF-\(\alpha\) inhibitor in glioma virotherapy: a mathematical model. Zbl 1362.92034Ratajczyk, Elzbieta; Ledzewicz, Urszula; Leszczynski, Maciej; Friedman, Avner 4 2017 Granuloma formation in leishmaniasis: a mathematical model. Zbl 1368.92087Siewe, Nourridine; Yakubu, Abdul-Aziz; Satoskar, Abhay R; Friedman, Avner 3 2017 Mathematical modeling of liver fibrosis. Zbl 1348.92079Friedman, Avner; Hao, Wenrui 2 2017 Free boundary problems for systems of Stokes equations. Zbl 1357.35298Friedman, Avner 4 2016 Immune response to infection by Leishmania: a mathematical model. Zbl 1341.92042Siewe, Nourridine; Yakubu, Abdul-Aziz; Satoskar, Abhay R.; Friedman, Avner 4 2016 Introduction to mathematical biology. Modeling, analysis, and simulations. Zbl 1351.92001Chou, Ching-Shan; Friedman, Avner 3 2016 Analysis of a free-boundary tumor model with angiogenesis. Zbl 1344.35172Friedman, Avner; Lam, King-Yeung 21 2015 A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors. Zbl 1334.92198Friedman, Avner; Hao, Wenrui 13 2015 A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181Friedman, Avner; Hao, Wenrui; Hu, Bei 6 2015 Free boundary problems in biology. Zbl 1353.35291Friedman, Avner 4 2015 Effects of CCN1 and macrophage content on glioma virotherapy: a mathematical model. Zbl 1335.92040Jacobsen, Karly; Russell, Luke; Kaur, Balveen; Friedman, Avner 3 2015 A PDE model for the dynamics of trail formation by ants. Zbl 1311.35325Fontelos, Marco A.; Friedman, Avner 1 2015 A mathematical model for pancreatic cancer growth and treatments. Zbl 1412.92154Louzoun, Yoram; Xue, Chuan; Lesinski, Gregory B.; Friedman, Avner 14 2014 Mathematical model of sarcoidosis. Zbl 1355.92049Hao, Wenrui; Crouser, Elliott D.; Friedman, Avner 13 2014 On a multiphase multicomponent model of biofilm growth. Zbl 1288.35388Friedman, Avner; Hu, Bei; Xue, Chuan 8 2014 Mathematical modeling of biological processes. Zbl 1302.92004Friedman, Avner; Kao, Chiu-Yen 3 2014 On the stability of steady states in a granuloma model. Zbl 1288.35482Friedman, Avner; Lam, King-Yeung 3 2014 A Bovine babesiosis model with dispersion. Zbl 1282.92019Friedman, Avner; Yakubu, Abdul-Aziz 3 2014 Mathematical model of renal interstitial fibrosis. Zbl 1355.92050Hao, Wenrui; Rovin, Brad H.; Friedman, Avner 1 2014 Modulation of the camp response by \(\mathrm{G}\alpha _i\) and \(\mathrm{G}\beta \gamma \): a computational study of G protein signaling in immune cells. Zbl 1298.92038Leander, R.; Friedman, A. 1 2014 Anthrax epizootic and migration: persistence or extinction. Zbl 1303.92116Friedman, Avner; Yakubu, Abdul-Aziz 10 2013 Modeling prostate cancer response to continuous versus intermittent androgen ablation therapy. Zbl 1277.92013Jain, Harsh Vardhan; Friedman, Avner 9 2013 A two-phase free boundary problem with discontinuous velocity: Application to tumor model. Zbl 1256.35208Chen, Duan; Friedman, Avner 5 2013 Epidemiological models with seasonality. Zbl 1345.92140Friedman, Avner 3 2013 Mathematical methods and models in biomedicine. Zbl 1254.92046Ledzewicz, Urszula (ed.); Schättler, Heinz (ed.); Friedman, Avner (ed.); Kashdan, Eugene (ed.) 3 2013 Mathematical model of the roles of T cells in inflammatory bowel disease. Zbl 1272.92030Lo, Wing-Cheong; Arsenescu, Razvan I.; Friedman, Avner 2 2013 The role of CD200-CD200R in tumor immune evasion. Zbl 1330.92024Liao, Kang-Ling; Bai, Xue-Feng; Friedman, Avner 1 2013 The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014Friedman, Avner; Hu, Bei; Keener, James P. 1 2013 A mathematical model for cell-induced gel compaction in vitro. Zbl 1257.92018Green, J. E. F.; Bassom, Andrew P.; Friedman, Avner 1 2013 Host demographic Allee effect, fatal disease, and migration: persistence or extinction. Zbl 1273.34052Friedman, Avner; Yakubu, Abdul-Aziz 12 2012 PDE problems arising in mathematical biology. Zbl 1260.49001Friedman, Avner 9 2012 Hypoxia inducible factors-mediated inhibition of cancer by GM-CSF: a mathematical model. Zbl 1267.92043Chen, Duan; Roda, Julie M.; Marsh, Clay B.; Eubank, Timothy D.; Friedman, Avner 8 2012 Modeling the inhibition of breast cancer growth by GM-CSF. Zbl 1337.92118Szomolay, Barbara; Eubank, Tim D.; Roberts, Ryan D.; Marsh, Clay B.; Friedman, Avner 6 2012 A three dimensional model of wound healing: analysis and computation. Zbl 1395.92076Friedman, Avner; Hu, Bei; Xue, Chuan 6 2012 Cancer as multifaceted disease. Zbl 1241.92038Friedman, A. 3 2012 Conservation laws in mathematical biology. Zbl 1258.35142Friedman, Avner 3 2012 Asymptotic limit in a cell differentiation model with consideration of transcription. Zbl 1267.34078Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen 2 2012 Fatal disease and demographic Allee effect: population persistence and extinction. Zbl 1447.92337Friedman, Avner; Yakubu, Abdul-Aziz 1 2012 A mathematical model for chronic wounds. Zbl 1259.92043Friedman, Avner; Xue, Chuan 7 2011 Asymptotic analysis for the narrow escape problem. Zbl 1252.35030Chen, Xinfu; Friedman, Avner 6 2011 Tumor cells proliferation and migration under the influence of their microenvironment. Zbl 1259.92042Friedman, Avner; Kim, Yangjin 5 2011 Modeling the host response to inhalation anthrax. Zbl 1405.92143Day, Judy; Friedman, Avner; Schlesinger, Larry S. 3 2011 Analysis of a mathematical model of ischemic cutaneous wounds. Zbl 1217.35195Friedman, Avner; Hu, Bei; Xue, Chuan 11 2010 Interaction of tumor with its micro-environment: a mathematical model. Zbl 1197.92027Kim, Yangjin; Friedman, Avner 11 2010 Mathematical model for optimal use of sulfadoxine-pyrimethamine as a temporary malaria vaccine. Zbl 1191.92025Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz 6 2010 Transformed epithelial cells and fibroblasts/myofibroblasts interaction in breast tumor: a mathematical model and experiments. Zbl 1204.92041Kim, Yangjin; Wallace, Julie; Li, Fu; Ostrowski, Michael; Friedman, Avner 5 2010 Cell cycle control at the first restriction point and its effect on tissue growth. Zbl 1202.92024Friedman, Avner; Hu, Bei; Kao, Chiu-Yen 5 2010 Mathematical modeling of preadipocyte fate determination. Zbl 1406.92145Coskun, Huseyin; Summerfield, Taryn L. S.; Kniss, Douglas A.; Friedman, Avner 1 2010 A mathematical model for pattern formation of glioma cells outside the tumor spheroid core. Zbl 1405.92032Kim, Yangjin; Lawler, Sean; Nowicki, Michal O.; Chiocca, E. Antonio; Friedman, Avner 17 2009 Free boundary problems associated with multiscale tumor models. Zbl 1172.35080Friedman, A. 10 2009 Malaria model with periodic mosquito birth and death rates. Zbl 1342.92232Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz 8 2009 Asymptotic phases in a cell differentiation model. Zbl 1173.35590Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen 5 2009 Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059Friedman, Avner; Hu, Bei 34 2008 A multiscale tumor model. Zbl 1157.35501Friedman, Avner 7 2008 Models of cellular regulation. Zbl 1231.92030Aguda, Baltazar D.; Friedman, Avner 5 2008 The role of oxygen in tissue maintenance: mathematical modeling and qualitive analysis. Zbl 1152.35524Friedman, Avner; Hu, Bei 5 2008 Tutorials in mathematical biosciences IV. Evolution and ecology. Tutorials presented at the Mathematical Bioscience Institute (MBI) in the years 2005–2006. Zbl 1130.92002Friedman, Avner (ed.) 5 2008 The extensional flow of a thin sheet of incompressible, transversely isotropic fluid. Zbl 1141.76009Green, J. Edward F.; Friedman, Avner 4 2008 A parabolic-hyperbolic quasilinear system. Zbl 1158.35004Chen, Xinfu; Friedman, Avner; Hu, Bei 2 2008 Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013Friedman, Avner 46 2007 Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107Friedman, Avner; Hu, Bei 32 2007 Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013Friedman, Avner; Hu, Bei 20 2007 Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems. Zbl 1133.35006Friedman, Avner; Hu, Bei 8 2007 Uniform convergence for approximate traveling waves in linear reaction-diffusion-hyperbolic systems. Zbl 1132.35006Friedman, Avner; Hu, Bei 3 2007 One-dimensional free boundary problem for actin-based propulsion of Listeria. Zbl 1104.92016Bazaliy, Borys; Bazaliy, Yaroslaw; Friedman, Avner 2 2007 Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039Friedman, Avner; Hu, Bei 46 2006 Stochastic differential equations and applications. Reprint of the 1975 and 1976 original editions. Zbl 1113.60003Friedman, Avner 41 2006 Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106Friedman, Avner; Hu, Bei 36 2006 A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth. Zbl 1106.35145Friedman, Avner 17 2006 Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 1147.35330Friedman, Avner; Craciun, Gheorghe 12 2006 Homogenization of the cell cytoplasm: the calcium bidomain equations. Zbl 1128.35303Goel, Pranay; Sneyd, James; Friedman, Avner 7 2006 Tutorials in mathematical biosciences III. Cell cycle, prolifereation, and cancer. Zbl 1122.92030Friedman, Avner (ed.) 4 2006 Differential games. Reprint of the 1971 original ed. Zbl 1225.91011Friedman, Avner 3 2006 Analysis of a mathematical model of tumor lymphangiogenesis. Zbl 1060.92036Friedman, Avner; Lolas, Georgios 41 2005 Symmetry-breaking bifurcations for free boundary problems. Zbl 1079.35012Borisovich, Andrei; Friedman, Avner 20 2005 A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166Chen, Xinfu; Cui, Shangbin; Friedman, Avner 16 2005 A model of intracellular transport of particles in an axon. Zbl 1068.92016Friedman, Avner; Craciun, Gheorghe 14 2005 Generalized functions and partial differential equations. Reprint of the 1963 original. Zbl 1121.46001Friedman, Avner 13 2005 The Hele-Shaw problem with surface tension in a half-plane: a model problem. Zbl 1075.76022Bazaliy, Borys V.; Friedman, Avner 12 2005 The Hele-Shaw problem with surface tension in a half-plane. Zbl 1076.76028Bazaliy, Borys V.; Friedman, Avner 10 2005 Tutorials in mathematical biosciences. I: Mathematical neuroscience. Zbl 1062.92008Borisyuk, Alla; Ermentrout, Bard G.; Friedman, Avner; Terman, David 6 2005 Symmetry-breaking bifurcations for free boundary problems. Zbl 1075.35117Friedman, Avner 2 2005 Free boundary problems with surface tension conditions. Zbl 1153.35409Friedman, Avner 1 2005 Mathematical analysis of a modular network coordinating the cell cycle and apoptosis. Zbl 1079.92023Craciun, Gheorghe; Aguda, Baltazar; Friedman, Avner 1 2005 A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094Friedman, Avner 39 2004 Symmetry-breaking bifurcations of charged drops. Zbl 1094.76022Fontelos, Marco A.; Friedman, Avner 15 2004 Free boundary problems arising in tumor models. Zbl 1162.35460Friedman, Avner 4 2004 A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144Chen, Xinfu; Friedman, Avner 45 2003 Symmetry-breaking bifurcations of free boundary problems in three dimensions. Zbl 1054.35145Fontelos, Marco A.; Friedman, Avner 39 2003 A free boundary problem for an elliptic-parabolic system: application to a model of tumor growth. Zbl 1031.35151Bazaliy, Borys V.; Friedman, Avner 37 2003 Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: an application to a model of tumor growth. Zbl 1089.35079Bazaliy, Borys; Friedman, Avner 26 2003 A free boundary problem for a singular system of differential equations: An application to a model of tumor growth. Zbl 1036.34018Cui, Shangbin; Friedman, Avner 25 2003 A hyperbolic free boundary problem modeling tumor growth. Zbl 1040.35143Cui, Shangbin; Friedman, Avner 18 2003 Nonlinear stability of the Muskat problem with capillary pressure at the free boundary. Zbl 1028.35123Friedman, Avner; Tao, Youshan 16 2003 Analysis of a model of a virus that replicates selectively in tumor cells. Zbl 1052.92027Friedman, Avner; Tao, Youshan 14 2003 Mathematical models in photographic science. Zbl 1290.82030Friedman, Avner; Ross, David S. 2 2003 ...and 356 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,768 Authors 204 Friedman, Avner 55 Mu, Chunlai 52 Vazquez, Juan Luis 44 Winkler, Michael 43 Hu, Bei 39 Caffarelli, Luis Ángel 37 Zheng, Sining 35 Galaktionov, Victor Aleksandrovich 34 Shahgholian, Henrik 34 Wang, Mingxin 34 Yi, Fahuai 32 Cui, Shangbin 30 Mao, Xuerong 30 Xu, Shihe 29 Pao, Chia-Ven 28 Cannon, John Rozier 27 Liu, Bingchen 27 Tao, Youshan 26 Lin, Zhigui 25 Fasano, Antonio 24 Chen, Xinfu 24 Primicerio, Mario 23 Ammari, Habib M. 23 Li, Fengjie 23 Peletier, Lambertus Adrianus 22 Diaz Diaz, Jesus Ildefonso 22 Guo, Jong-Shenq 21 Du, Lili 20 Souplet, Philippe 20 Xie, Chunhong 19 Herrero, Miguel Ángel 19 Macías-Díaz, Jorge Eduardo 19 Shen, Wenxian 19 Velázquez, Juan J. L. 18 Aronson, Donald G. 18 Rossi, Julio Daniel 18 Véron, Laurent 17 Hayashi, Nakao 17 Yin, Hongming 17 Zheng, Pan 16 Bao, Gang 16 Du, Yihong 16 Gao, Wenjie 16 Karatzas, Ioannis 16 Lions, Pierre-Louis 16 Yong, Jiongmin 16 Zaag, Hatem 15 Bertsch, Michiel 15 Bögelein, Verena 15 DiBenedetto, Emmanuele 15 Escher, Joachim 15 Kamin, Shoshana 15 Kang, Hyeonbae 15 Rodríguez-Bernal, Aníbal 15 Valdinoci, Enrico 15 Yin, Jingxue 14 Chechkin, Gregory A. 14 Ding, Juntang 14 Ishige, Kazuhiro 14 Mingione, Giuseppe 14 Tello, José Ignacio 14 Weiss, Georg Sebastian 14 Wu, Junde 13 Amann, Herbert 13 Cheng, Jianfeng 13 Lenhart, Suzanne M. 13 Perthame, Benoît 13 Prüß, Jan Wilhelm 13 Qi, Yuanwei 13 Salsa, Sandro 13 Suzuki, Takashi 13 Taranets, Roman M. 13 Tarzia, Domingo Alberto 13 Tesei, Alberto 12 Alessandrini, Giovanni 12 Balachandran, Krishnan 12 Bandle, Catherine 12 Bellomo, Nicola 12 Fila, Marek 12 Guo, Boling 12 Hao, Wenrui 12 Karakhanyan, Aram L. 12 Kim, Kwang Ik 12 Le, Dung 12 Lesnic, Daniel 12 Pascucci, Andrea 12 Vasylyeva, Nataliya V. 12 Yang, Zhou 12 Zhang, Xicheng 11 Ambrazevičius, Algirdas 11 Barron, Emmanuel Nicholas 11 Beretta, Elena 11 Denisov, Vasiliĭ Nikolaevich 11 Elliott, Robert James 11 Fernández-Cara, Enrique 11 Fitzgibbon, William Edward 11 Gol’dman, Nataliya L’vovna 11 Hu, Guanghui 11 Kawohl, Bernd 11 King, John Robert ...and 7,668 more Authors all top 5 Cited in 597 Serials 588 Journal of Mathematical Analysis and Applications 558 Journal of Differential Equations 241 Nonlinear Analysis. 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